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Controllability and observability of linear impulsive differential algebraic system with Caputo fractional derivative | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 16 دی 1399 اصل مقاله (231.57 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.39372.1724 | ||
| نویسندگان | ||
Cemil Tunc  1؛ Anum Zehra2؛ Awais Younas3
| ||
| 1Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Van, TURKEY | ||
| 2Pakistan Institute of Engineering and Technology | ||
| 3Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University | ||
| چکیده | ||
| Linear impulsive fractional differential-algebraic systems (LIFDAS) in a finite-dimensional space are studied. We obtain the solution of LIFDAS. Using Gramian matrices, necessary and sufficient conditions for controllability and observability of time-varying LIFDAS are established. We acquired criterion for time-invariant LIFDAS in the form of rank conditions. The results are more generalized than the results that are obtained for various differential-algebraic systems without impulses | ||
| کلیدواژه‌ها | ||
| Controllability؛ observability؛ Drazin inverse؛ Caputo fractional derivative | ||
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آمار تعداد مشاهده مقاله: 43 تعداد دریافت فایل اصل مقاله: 61 |
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